28-x=7(x-4)

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Solution for 28-x=7(x-4) equation:


Simplifying
28 + -1x = 7(x + -4)

Reorder the terms:
28 + -1x = 7(-4 + x)
28 + -1x = (-4 * 7 + x * 7)
28 + -1x = (-28 + 7x)

Solving
28 + -1x = -28 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
28 + -1x + -7x = -28 + 7x + -7x

Combine like terms: -1x + -7x = -8x
28 + -8x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 + -8x = -28 + 0
28 + -8x = -28

Add '-28' to each side of the equation.
28 + -28 + -8x = -28 + -28

Combine like terms: 28 + -28 = 0
0 + -8x = -28 + -28
-8x = -28 + -28

Combine like terms: -28 + -28 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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